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the Advanced Placement Program® (AP®), and Pacesetter®. The College Board is committed to the principles of equity and excellence, and that
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Copyright © 2000 by College Entrance Examination Board and Educational Testing Service. All rights reserved. College Board, Advanced Placement
Program, AP, and the acorn logo are registered trademarks of the College Entrance Examination Board. 2000 AP® CALCULUS AB FREERESPONSE QUESTIONS
CALCULUS AB
SECTION II, Part A
Time—45 minutes
Number of problems—3
A graphing calculator is required for some problems or parts of problems. 2 1. Let R be the shaded region in the first quadrant enclosed by the graphs of y = e − x , y = 1  cos x, and the
yaxis, as shown in the figure above.
(a) Find the area of the region R.
(b) Find the volume of the solid generated when the region R is revolved about the xaxis.
(c) The region R is the base of a solid. For this solid, each cross section perpendicular to the xaxis is a square.
Find the volume of this solid. Copyright © 2000 College Entrance Examination Board and Educational Testing Service. All rights reserved.
AP is a registered trademark of the College Entrance Examination Board.
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2 2000 AP® CALCULUS AB FREERESPONSE QUESTIONS 2. Two runners, A and B, run on a straight racetrack for 0 ≤ t ≤ 10 seconds. The graph above, which consists of
two line segments, shows the velocity, in me...
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